Question

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Answer 1

$1.\sqrt{-a^5}=\sqrt{-a}*\sqrt{a^4}=a^2\sqrt{-a}\\\\2.\sqrt{-a^3b^{6}}=\sqrt{-a}*\sqrt{a^2}*\sqrt{b^6}=|a|*b^3\sqrt{-a}\\\\b>0\Rightarrow \begin{Bmatrix}-3a^3b^6\ge 0\\a<0\end{matrix}\Rightarrow \sqrt{-a^3b^{6}}=-ab^3\sqrt{-a}\\\\\begin{matrix}Otvet:&\begin{matrix}1.a^2\sqrt{-a}\\2.-ab^3\sqrt{-a}\end{matrix}\end{matrix}$